Title page for ETD etd-71398-145430


Type of Document Master's Thesis
Author Ramachandran, Karthik
Author's Email Address kramacha@vt.edu
URN etd-71398-145430
Title Unstructured Finite Element Computations on Configurable Computers
Degree Master of Science
Department Electrical and computer engineering
Advisory Committee
Advisor Name Title
Jones, Mark T. Committee Chair
Armstrong, James R. Committee Member
Athanas, Peter M. Committee Member
Keywords
  • CCM
  • FPGA
  • FEM
  • Configurable computing
Date of Defense 1998-08-03
Availability unrestricted
Abstract
Scientific solutions to physical problems are computationally intensive. With the increasing emphasis in the area of Custom Computing Machines, many physical problems are being solved using configurable computers. The Finite Element Method (FEM) is an efficient way of solving physical problems such as heat equations, stress analysis and two- and three-dimensional Poisson's equations. This thesis presents the solution to physical problems using the FEM on a configurable platform. The core computational unit in an iterative solution to the FEM, the matrix-by-vector multiplication, is developed in this thesis along with the framework necessary for implementing the FEM solution. The solutions for 2-D and 3-D Poisson's equations are implemented with the use of an adaptive mesh refinement method. The dominant computation in the method is matrix-by-vector multiplication and is performed on the Wildforce board, a configurable platform. The matrix-by-vector multiplication units developed in this thesis are basic mathematical units implemented on a configurable platform and can be used to accelerate any mathematical solution that involves such an operation.
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